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Question : Directions: In a certain code language, SUN is written as 54 and PUT is written as 57. How is CAT written in that code language?
Option 1: 28
Option 2: 24
Option 3: 52
Option 4: 36
Correct Answer: 24
Solution : Given: SUN is written as 54 and PUT is written as 57.
SUN is written as 54; S→19; U→21; N→14 Add all the place values to get the number→19 + 21 + 14 = 54
PUT is written as 57; P→16; U→21; T→20 Add all
Question : Directions: Four triads of numbers have been given out of which three are alike in some manner and one is different. Select a different one. NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
Option 1: 19 – 37 – 73
Option 2: 14 – 29 – 59
Option 3: 23 – 47 – 95
Option 4: 3 – 7 – 15
Correct Answer: 19 – 37 – 73
Solution : Let's check the options –
First option: (19 – 37 – 73)→(19 × 2) + 37 + 2 = 38 + 37 + 2 = 77 ≠ 73 Second option: (14 – 29 – 59)→(14 × 2) + 29 + 2
Question : The value of 32 + 12 × 36 ÷ 4 + 4 – 22 ÷ 11 × 3 is:
Option 1: 142
Option 2: 138
Option 3: 150
Option 4: 130
Correct Answer: 138
Solution : 32 + 12 × 36 ÷ 4 + 4 – 22 ÷ 11 × 3 Applying BODMAS, we get: = 32 + 12 × 9 + 4 - 2 × 3 = 32 + 108 + 4 - 6 = 138 Hence, the correct answer
Question : Directions: In a certain code language, BLAMED is written as DOEGHP. How is POLARY written in that code language?
Option 1: QPMBSZ
Option 2: ORSBUD
Option 3: DBVSRO
Option 4: KNOCQZ
Correct Answer: ORSBUD
Solution : Given: BLAMED is written as DOEGHP.
Consider the first three letters of BLAMED (BLA) as a single part and the next three letters (MED) as a single part. Now, reverse the order of the letters of each part individually – BLA→ALB; MED→DEM Add 3 to
Question : ABCD is a cyclic quadrilateral. The tangents to the circle at the points A and C on it, intersect at P. If $\angle\mathrm{ABC}=98^{\circ}$, then what is the measure of $\angle \mathrm{APC}$ ?
Option 1: 22°
Option 2: 26°
Option 3: 16°
Option 4: 14°
Correct Answer: 16°
Solution : $\angle$ABC = 98º $\angle$ABC + $\angle$CDA = 180º (Property of cyclic quadrilateral) ⇒ $\angle$CDA = 180º – 98º = 82º So, $\angle$AOC = 2 × $\angle$ADC (the angle at the centre is double that on the circumference by the same arc) = 2 × 82º
Question : The value of $\sqrt{3\sqrt{3\sqrt{3......}}}$ is equal to:
Option 1: $\sqrt{3}$
Option 2: $3$
Option 3: $2\sqrt{3}$
Option 4: $3\sqrt{3}$
Correct Answer: $3$
Solution : Given: $\sqrt{3\sqrt{3\sqrt{3......}}}$ Let $x = \sqrt{3\sqrt{3\sqrt{3......}}}$ $ ⇒ x = \sqrt{3x}$ By squaring both sides, we get: $ ⇒ x^{2} = 3x$ $ ⇒ x = 3$ Hence, the correct answer is $3$.
Question : Select the most appropriate option to fill in the blank. Please don’t ______ anyone that I came to your birthday party.
Option 1: told
Option 2: said
Option 3: tell
Option 4: say
Correct Answer: tell
Solution : The correct choice is the third option.
Explanation: The verb tell is the correct choice in this context because it is used for reporting or informing someone about something. In the sentence, you are asking someone not to inform or share with anyone
Question : Directions: Which answer figure shall complete the given question figure?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : On comparing the question figure and all the answer figures, the following figure will combine and make the complete pattern –
Hence, the third option is correct.
Question : Study the given table and answer the question that follows. The table indicates the number of students studying in three disciplines in four different colleges.
Which college has the minimum number of students in Commerce?
Option 1: A
Option 2: B
Option 3: C
Option 4: D
Correct Answer: C
Solution : From the given data, the minimum number of students in commerce = 515 Hence, the correct answer is C.
Question : A is 20% more efficient than B. If B alone can complete a piece of work in 12 days, then A alone can complete the same work in how many days?
Option 1: 10
Option 2: 12
Option 3: 14
Option 4: 16
Correct Answer: 10
Solution : Let B be 100% efficient. Then A will be 120% efficient. Now, 100% efficient can do work in 12 days, 1% efficient will do work in $12 \times 100$ days. $\therefore$ 120% efficient can do work in $\frac{12 \times 100}{120}$ = 10 days Hence, the
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